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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days, will 10 women complete it?

#### Options

35 days

40 days

45 days

50 days

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#### Solution

**40 days**

**Explanation:**

Let 1 man's 1 day's work = x

And 1 woman's 1 day's work = y

Then, `4x + 6y = 1/8` and `3x + 7y = 1/10`

On solving these two equations, we get

`x = 11/400` and `y = 1/400`

∴ 1 woman's 1 day's work = `1/400`

⇒ 10 women's 1 day's work = `(1/400 xx 10) = 1/40`

Hence, 10 women will complete the work in 40 days.

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